Home / 1,200.20-1,799.60-469.22

Finding the Fourth Proportional to 1,200.20, 1,799.60 and 469.22

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Solution

The fourth proportional to 1,200.20, 1,799.60 and 469.22 is: 703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.20 : 1,799.60 = 469.22 : x
  2. Step 2: Convert to fraction form
    1,200.20/1,799.60 = 469.22/x
  3. Step 3: Cross multiply
    1,200.20x = 1,799.60 × 469.22
  4. Step 4: Simplify right side
    1,200.20x = 844,408.31
  5. Step 5: Solve for x
    x = 844,408.31/1,200.20
  6. Step 6: Final answer
    x = 703.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.